dgolf... They made no mention of code nor software numbers. It was manufactured in late June 2011.
As I mentioned, the hesitation did not go away completely but it is less of an issue at present. My honest appraisal is that I probably adapted to the transmission the same as the adaptive transmission probably adapted itself to my driving style to some extent. Another BMW service employee also indicated to me that the hesitation inconvenience has something to do with fuel economy... which is excellent by the way with an average of 22.5 usg/m for combined city & highway driving over my last 4 fill ups. I hit over 25 usg/m for 75% hwy/25% city.
It is an 8 speed transmission and they hopefully improve on it as time goes. Still, I am anxious to read reviews when Ford/Lincoln comes out with theirs & see if they will have the same acceleration hesitation issues for similar size vehicles.